journal-of-dynamical-systems-and-geometric-theories Journal of Dynamical Systems and Geometric Theories 2169-0057 1726-037X Taru Publications 10.47974/JDSGT-21-2-P10 Some theorems on approximation of solutions of integro-difference-differential equation with nonlocal condition in Banach space More Rupesh T. Department of Mathematics, Bodwad, Arts, Commerce and Science College, Jalgaon, Maharashtra, 425310, India Tidke H. L. Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, Maharashtra, 425001, India Aage Chintaman T. Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, Maharashtra, 425001, India 21 2 127 152 16 01 2024

Results on approximate solutions, closeness, continuous dependence of solutions of a certain integro- differential equation with finite delay with nonlocal condition in Banach Space are discussed. The integral inequality established by B.G. Pachpatte is used to obtain the results.

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